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Finding the Fourth Proportional to 3,546.68, 4,894.26 and 1,974.68

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Solution

The fourth proportional to 3,546.68, 4,894.26 and 1,974.68 is: 2,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.68 : 4,894.26 = 1,974.68 : x
  2. Step 2: Convert to fraction form
    3,546.68/4,894.26 = 1,974.68/x
  3. Step 3: Cross multiply
    3,546.68x = 4,894.26 × 1,974.68
  4. Step 4: Simplify right side
    3,546.68x = 9,664,597.34
  5. Step 5: Solve for x
    x = 9,664,597.34/3,546.68
  6. Step 6: Final answer
    x = 2,724.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.